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Finding the Fourth Proportional to 31,914.45, 47,873.49 and 9,728.55

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Solution

The fourth proportional to 31,914.45, 47,873.49 and 9,728.55 is: 14,593.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,914.45 : 47,873.49 = 9,728.55 : x
  2. Step 2: Convert to fraction form
    31,914.45/47,873.49 = 9,728.55/x
  3. Step 3: Cross multiply
    31,914.45x = 47,873.49 × 9,728.55
  4. Step 4: Simplify right side
    31,914.45x = 465,739,641.14
  5. Step 5: Solve for x
    x = 465,739,641.14/31,914.45
  6. Step 6: Final answer
    x = 14,593.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.